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Finding the Fourth Proportional to 760.62, 1,049.58 and 498.90

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Solution

The fourth proportional to 760.62, 1,049.58 and 498.90 is: 688.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.62 : 1,049.58 = 498.90 : x
  2. Step 2: Convert to fraction form
    760.62/1,049.58 = 498.90/x
  3. Step 3: Cross multiply
    760.62x = 1,049.58 × 498.90
  4. Step 4: Simplify right side
    760.62x = 523,635.46
  5. Step 5: Solve for x
    x = 523,635.46/760.62
  6. Step 6: Final answer
    x = 688.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.